THERMAL STRESSES AROUND AN INSULATED BARRIER

摘要

The main interest in this study is to determine the thermal stresses around an insulated barrier due to constant heat flux in a homogeneous semi-infinite medium. Reducing the diffusion equation to a singular integral equation, the temperature distribution around the insulated barrier is obtained by defining an unknown function, the so-called density function, as a series expansion of orthogonal polynomials. After the temperature distribution is obtained then it can be used in equilibrium equations as an input function to find thermal stresses for different thickness parameters. Using the solution of equilibrium equations one can also obtain displacements around an insulated barrier as a secondary interest of the problem.